Morphisms fixing words associated with exchange of three intervals

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We consider words coding exchange of three intervals with permutation (3,2,1), here called 3iet words. Recently, a characterization of substitution invariant 3iet words was provided. We study the opposite question: what are the morphisms fixing a 3iet word? We reveal a narrow connection of such morphisms and morphisms fixing Sturmian words using the new notion of amicability.
13 pages, 5 figures

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Combinatorics, 68R15; 08A50

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http://salesiana.dossiersoluciones.com/handle/123456789/174062

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2147
 http://arxiv.org/abs/0811.2147

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arXiv